Least Common Multiple of 120, 210 and 330 by Prime Factorization

Identify the Prime Factors of 120, 210 and 330 by Prime Factorization:
Prime Factorization of 120: 120 = 2 x 2 x 2 x 3 x 5 = 23 x 31 x 51
Prime Factorization of 210: 210 = 2 x 3 x 5 x 7 = 21 x 31 x 51 x 71
Prime Factorization of 330: 330 = 2 x 3 x 5 x 11 = 21 x 31 x 51 x 111
Prime Factors of 120, 210 and 330: 2, 3, 5, 7 and 11
Least Common Multiple of 120, 210 and 330 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(120,210,330) = 23 x 31 x 51 x 71 x 111
LCM(120,210,330) = 8 x 3 x 5 x 7 x 11
LCM(120,210,330) = 9,240

The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.